SOLUTION: Nick's computer is three times the memory of Lynne's and Alf's computer put together. Sherry's PC has twice as much memory as Chris's. Nick's computer has one-and-a-half times the
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-> SOLUTION: Nick's computer is three times the memory of Lynne's and Alf's computer put together. Sherry's PC has twice as much memory as Chris's. Nick's computer has one-and-a-half times the
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Question 485892: Nick's computer is three times the memory of Lynne's and Alf's computer put together. Sherry's PC has twice as much memory as Chris's. Nick's computer has one-and-a-half times the memory of Sherry's. Between them, Alf and Sherry's computers have as much memory as Lynne's plus twice the memory of Chris's. Sherry, Chris, Nick, Alf, and Lynne's PCs have 2,800 megabytes of memory between them. How much memory does each computer have? Answer by Theo(13342) (Show Source):
the operations within each of the circled numbers is as follows:
1.
rewrites the problem statements into formulas.
N = memory on Nick's computer
L = memory on Larry's computer
A = memory on Alf's computer
S = memory on Sherry's computer
C = memory on Chris' computer
2.
used the fact that S = 2C to solve for L in terms of A.
3.
used the fact that L = A to solve for N in terms of A.
4.
used the fact that N = 6A to solve for S in terms of A.
5.
used the fact that S = 4A to solve for C in terms of A.
6.
summarized what i found so far.
7.
since all terms could be expressed in terms of A, i used that fact in the sum formula to solve for A.
8.
once i solved for A, then i simply applied the value of A to the formulas expressed in 6 to to solve the problem.
9.
used the values expressed in 8 to confirm that the solutions were good.
they were.
your answer is:
Alf's computer has 200 megabytes
Lynne's computer has 200 megabytes
Nick's computer has 1200 megabytes
Sherry's computer has 800 megabytes
Chris' computer has 400 megabytes
